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122123220010 = 25112313255751
BaseRepresentation
bin111000110111100011…
…1000111010000101010
3102200012222101100210121
41301233013013100222
54000102021020020
6132034100233454
711552220146131
oct1615707072052
9380188340717
10122123220010
1147879412800
121b80299b88a
13b69304517c
145ca7318918
15329b5a7baa
hex1c6f1c742a

122123220010 has 48 divisors (see below), whose sum is σ = 249416649216. Its totient is φ = 42975900000.

The previous prime is 122123219951. The next prime is 122123220049. The reversal of 122123220010 is 10022321221.

It is a happy number.

122123220010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221232200102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1590366 + ... + 1665385.

It is an arithmetic number, because the mean of its divisors is an integer number (5196180192).

Almost surely, 2122123220010 is an apocalyptic number.

122123220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122123220010 is an abundant number, since it is smaller than the sum of its proper divisors (127293429206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122123220010 is a wasteful number, since it uses less digits than its factorization.

122123220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255811 (or 3255800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122123220010 its reverse (10022321221), we get a palindrome (132145541231).

The spelling of 122123220010 in words is "one hundred twenty-two billion, one hundred twenty-three million, two hundred twenty thousand, ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 121 155 242 310 341 605 682 1210 1705 3410 3751 7502 18755 37510 3255751 6511502 16278755 32557510 35813261 71626522 100928281 179066305 201856562 358132610 393945871 504641405 787891742 1009282810 1110211091 1969729355 2220422182 3939458710 5551055455 11102110910 12212322001 24424644002 61061610005 122123220010